%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC214-1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n008.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:58:29 AM UTC 2026 % Result : Unsatisfiable 65.13s 65.33s % Output : Proof 65.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SWC214-1 : TPTP v9.2.1. Released v2.4.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n008.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 19:25:03 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.28/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/16.07 --- Run --no-e-matching --full-saturate-quant at 6... % 21.85/22.11 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 27.95/28.15 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 33.96/34.19 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 64.02/64.29 --- Run --trigger-sel=max --full-saturate-quant at 15... % 65.13/65.33 % SZS status Unsatisfiable % 65.13/65.33 % SZS output start Proof % 65.13/65.34 ( % 65.13/65.34 (declare-sort $$unsorted 0) % 65.13/65.34 (declare-const tptp.sk4 $$unsorted) % 65.13/65.34 (declare-const tptp.sk2 $$unsorted) % 65.13/65.34 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 65.13/65.34 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.skaf68 (-> $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.skaf69 (-> $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 65.13/65.34 (declare-const tptp.skaf70 (-> $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.skaf71 (-> $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.skaf79 (-> $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.skaf80 (-> $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 65.13/65.34 (declare-const tptp.skaf82 (-> $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.nil $$unsorted) % 65.13/65.34 (declare-const tptp.skaf51 (-> $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 65.13/65.34 (declare-const tptp.skaf81 (-> $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 65.13/65.34 (declare-const tptp.skaf59 (-> $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.skaf76 (-> $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.skaf46 (-> $$unsorted $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.sk1 $$unsorted) % 65.13/65.34 (declare-const tptp.skaf78 (-> $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 65.13/65.34 (declare-const tptp.skac2 $$unsorted) % 65.13/65.34 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 65.13/65.34 (declare-const tptp.skaf60 (-> $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.sk3 $$unsorted) % 65.13/65.34 (declare-const tptp.skaf77 (-> $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.skaf47 (-> $$unsorted $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 65.13/65.34 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 65.13/65.34 (declare-const tptp.skaf58 (-> $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.skaf75 (-> $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.skaf45 (-> $$unsorted $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 65.13/65.34 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 65.13/65.34 (declare-const tptp.skaf72 (-> $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.ssList (-> $$unsorted Bool)) % 65.13/65.34 (declare-const tptp.skaf57 (-> $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.skaf74 (-> $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.skaf43 (-> $$unsorted $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.skac3 $$unsorted) % 65.13/65.34 (declare-const tptp.skaf67 (-> $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.skaf66 (-> $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.skaf65 (-> $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 65.13/65.34 (declare-const tptp.skaf64 (-> $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 65.13/65.34 (declare-const tptp.skaf63 (-> $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.skaf62 (-> $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.skaf61 (-> $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 65.13/65.34 (declare-const tptp.skaf56 (-> $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.skaf73 (-> $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.skaf42 (-> $$unsorted $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.skaf55 (-> $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 65.13/65.34 (declare-const tptp.skaf54 (-> $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 65.13/65.34 (declare-const tptp.skaf53 (-> $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.skaf83 (-> $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.skaf52 (-> $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.skaf50 (-> $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.skaf49 (-> $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.skaf44 (-> $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.skaf48 (-> $$unsorted $$unsorted $$unsorted)) % 65.13/65.34 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 65.13/65.34 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 65.13/65.34 (define @t1 () (tptp.ssList tptp.nil)) % 65.13/65.34 (define @t2 () (@var "U" $$unsorted)) % 65.13/65.34 (define @t3 () (tptp.skaf83 @t2)) % 65.13/65.34 (define @t4 () (@list @t2)) % 65.13/65.34 (define @t5 () (tptp.skaf82 @t2)) % 65.13/65.34 (define @t6 () (tptp.skaf81 @t2)) % 65.13/65.34 (define @t7 () (tptp.skaf80 @t2)) % 65.13/65.34 (define @t8 () (tptp.skaf79 @t2)) % 65.13/65.34 (define @t9 () (tptp.skaf78 @t2)) % 65.13/65.34 (define @t10 () (tptp.skaf77 @t2)) % 65.13/65.34 (define @t11 () (tptp.skaf76 @t2)) % 65.13/65.34 (define @t12 () (tptp.skaf75 @t2)) % 65.13/65.34 (define @t13 () (tptp.skaf74 @t2)) % 65.13/65.34 (define @t14 () (tptp.skaf73 @t2)) % 65.13/65.34 (define @t15 () (tptp.skaf72 @t2)) % 65.13/65.34 (define @t16 () (tptp.skaf71 @t2)) % 65.13/65.34 (define @t17 () (tptp.skaf70 @t2)) % 65.13/65.34 (define @t18 () (tptp.skaf69 @t2)) % 65.13/65.34 (define @t19 () (tptp.skaf68 @t2)) % 65.13/65.34 (define @t20 () (tptp.skaf67 @t2)) % 65.13/65.34 (define @t21 () (tptp.skaf66 @t2)) % 65.13/65.34 (define @t22 () (tptp.skaf65 @t2)) % 65.13/65.34 (define @t23 () (tptp.skaf64 @t2)) % 65.13/65.34 (define @t24 () (tptp.skaf63 @t2)) % 65.13/65.34 (define @t25 () (tptp.skaf62 @t2)) % 65.13/65.34 (define @t26 () (tptp.skaf61 @t2)) % 65.13/65.34 (define @t27 () (tptp.skaf60 @t2)) % 65.13/65.34 (define @t28 () (tptp.skaf59 @t2)) % 65.13/65.34 (define @t29 () (tptp.skaf58 @t2)) % 65.13/65.34 (define @t30 () (tptp.skaf57 @t2)) % 65.13/65.34 (define @t31 () (tptp.skaf56 @t2)) % 65.13/65.34 (define @t32 () (tptp.skaf55 @t2)) % 65.13/65.34 (define @t33 () (tptp.skaf54 @t2)) % 65.13/65.34 (define @t34 () (tptp.skaf53 @t2)) % 65.13/65.34 (define @t35 () (tptp.skaf52 @t2)) % 65.13/65.34 (define @t36 () (tptp.skaf51 @t2)) % 65.13/65.34 (define @t37 () (tptp.skaf50 @t2)) % 65.13/65.34 (define @t38 () (tptp.skaf49 @t2)) % 65.13/65.34 (define @t39 () (tptp.skaf44 @t2)) % 65.13/65.34 (define @t40 () (@var "V" $$unsorted)) % 65.13/65.34 (define @t41 () (@list @t2 @t40)) % 65.13/65.34 (define @t42 () (tptp.skaf47 @t2 @t40)) % 65.13/65.34 (define @t43 () (tptp.skaf46 @t2 @t40)) % 65.13/65.34 (define @t44 () (tptp.skaf45 @t2 @t40)) % 65.13/65.34 (define @t45 () (tptp.skaf42 @t2 @t40)) % 65.13/65.34 (define @t46 () (not (tptp.ssItem @t2))) % 65.13/65.34 (define @t47 () (not (tptp.ssList @t2))) % 65.13/65.34 (define @t48 () (forall @t4 (or @t47 (tptp.segmentP @t2 tptp.nil)))) % 65.13/65.34 (define @t49 () (forall @t4 (or @t47 (tptp.frontsegP @t2 @t2)))) % 65.13/65.34 (define @t50 () (tptp.cons @t2 tptp.nil)) % 65.13/65.34 (define @t51 () (tptp.ssItem @t40)) % 65.13/65.34 (define @t52 () (tptp.duplicatefreeP @t2)) % 65.13/65.34 (define @t53 () (= tptp.nil @t2)) % 65.13/65.34 (define @t54 () (tptp.tl @t2)) % 65.13/65.34 (define @t55 () (tptp.hd @t2)) % 65.13/65.34 (define @t56 () (tptp.segmentP tptp.nil @t2)) % 65.13/65.34 (define @t57 () (not @t53)) % 65.13/65.34 (define @t58 () (tptp.rearsegP tptp.nil @t2)) % 65.13/65.34 (define @t59 () (tptp.frontsegP tptp.nil @t2)) % 65.13/65.34 (define @t60 () (tptp.app @t40 @t2)) % 65.13/65.34 (define @t61 () (not (tptp.ssList @t40))) % 65.13/65.34 (define @t62 () (tptp.cons @t2 @t40)) % 65.13/65.34 (define @t63 () (tptp.cyclefreeP @t2)) % 65.13/65.34 (define @t64 () (tptp.equalelemsP @t2)) % 65.13/65.34 (define @t65 () (tptp.strictorderedP @t2)) % 65.13/65.34 (define @t66 () (tptp.totalorderedP @t2)) % 65.13/65.34 (define @t67 () (tptp.strictorderP @t2)) % 65.13/65.34 (define @t68 () (tptp.totalorderP @t2)) % 65.13/65.34 (define @t69 () (tptp.tl @t62)) % 65.13/65.34 (define @t70 () (or @t46 @t61 (= @t69 @t40))) % 65.13/65.34 (define @t71 () (forall @t41 @t70)) % 65.13/65.34 (define @t72 () (tptp.hd @t62)) % 65.13/65.34 (define @t73 () (or @t46 @t61 (= @t72 @t2))) % 65.13/65.34 (define @t74 () (forall @t41 @t73)) % 65.13/65.34 (define @t75 () (not (= @t62 tptp.nil))) % 65.13/65.34 (define @t76 () (or @t75 @t46 @t61)) % 65.13/65.34 (define @t77 () (forall @t41 @t76)) % 65.13/65.34 (define @t78 () (= @t40 @t2)) % 65.13/65.34 (define @t79 () (tptp.neq @t40 @t2)) % 65.13/65.34 (define @t80 () (or @t47 @t61 @t79 @t78)) % 65.13/65.34 (define @t81 () (forall @t41 @t80)) % 65.13/65.34 (define @t82 () (not @t51)) % 65.13/65.34 (define @t83 () (tptp.leq @t2 @t40)) % 65.13/65.34 (define @t84 () (tptp.lt @t2 @t40)) % 65.13/65.34 (define @t85 () (not @t84)) % 65.13/65.34 (define @t86 () (tptp.lt @t40 @t2)) % 65.13/65.34 (define @t87 () (not (tptp.gt @t2 @t40))) % 65.13/65.34 (define @t88 () (tptp.gt @t40 @t2)) % 65.13/65.34 (define @t89 () (tptp.leq @t40 @t2)) % 65.13/65.34 (define @t90 () (not (tptp.geq @t2 @t40))) % 65.13/65.34 (define @t91 () (tptp.geq @t40 @t2)) % 65.13/65.34 (define @t92 () (not @t83)) % 65.13/65.34 (define @t93 () (tptp.cons @t3 @t5)) % 65.13/65.34 (define @t94 () (or @t47 (= @t93 @t2) @t53)) % 65.13/65.34 (define @t95 () (forall @t4 @t94)) % 65.13/65.34 (define @t96 () (= @t2 @t40)) % 65.13/65.34 (define @t97 () (not @t96)) % 65.13/65.34 (define @t98 () (tptp.cons @t40 @t2)) % 65.13/65.34 (define @t99 () (not (tptp.neq @t2 @t40))) % 65.13/65.34 (define @t100 () (or @t97 @t99 @t61 @t47)) % 65.13/65.34 (define @t101 () (forall @t41 @t100)) % 65.13/65.34 (define @t102 () (tptp.app @t2 @t40)) % 65.13/65.34 (define @t103 () (= @t102 tptp.nil)) % 65.13/65.34 (define @t104 () (not @t103)) % 65.13/65.34 (define @t105 () (= tptp.nil @t40)) % 65.13/65.34 (define @t106 () (tptp.app @t50 @t40)) % 65.13/65.34 (define @t107 () (or @t46 @t61 (= @t106 @t62))) % 65.13/65.34 (define @t108 () (forall @t41 @t107)) % 65.13/65.34 (define @t109 () (tptp.hd @t40)) % 65.13/65.34 (define @t110 () (tptp.strictorderedP @t40)) % 65.13/65.34 (define @t111 () (tptp.strictorderedP @t62)) % 65.13/65.34 (define @t112 () (not @t111)) % 65.13/65.34 (define @t113 () (tptp.totalorderedP @t40)) % 65.13/65.34 (define @t114 () (tptp.totalorderedP @t62)) % 65.13/65.34 (define @t115 () (not @t114)) % 65.13/65.34 (define @t116 () (not (tptp.segmentP @t2 @t40))) % 65.13/65.34 (define @t117 () (not (tptp.rearsegP @t2 @t40))) % 65.13/65.34 (define @t118 () (not (tptp.frontsegP @t2 @t40))) % 65.13/65.34 (define @t119 () (not @t89)) % 65.13/65.34 (define @t120 () (tptp.tl @t40)) % 65.13/65.34 (define @t121 () (tptp.lt @t2 @t109)) % 65.13/65.34 (define @t122 () (tptp.leq @t2 @t109)) % 65.13/65.34 (define @t123 () (@var "W" $$unsorted)) % 65.13/65.34 (define @t124 () (tptp.app @t123 @t2)) % 65.13/65.34 (define @t125 () (not (tptp.ssList @t123))) % 65.13/65.34 (define @t126 () (@list @t2 @t40 @t123)) % 65.13/65.34 (define @t127 () (tptp.app @t2 @t123)) % 65.13/65.34 (define @t128 () (tptp.cons @t40 @t123)) % 65.13/65.34 (define @t129 () (tptp.cons @t123 @t2)) % 65.13/65.34 (define @t130 () (not (tptp.ssItem @t123))) % 65.13/65.34 (define @t131 () (not (tptp.memberP @t2 @t40))) % 65.13/65.34 (define @t132 () (not (= @t102 @t123))) % 65.13/65.34 (define @t133 () (tptp.lt @t2 @t123)) % 65.13/65.34 (define @t134 () (not (tptp.lt @t40 @t123))) % 65.13/65.34 (define @t135 () (tptp.app @t123 @t40)) % 65.13/65.34 (define @t136 () (= @t40 @t123)) % 65.13/65.34 (define @t137 () (= @t2 @t123)) % 65.13/65.34 (define @t138 () (tptp.memberP @t40 @t123)) % 65.13/65.34 (define @t139 () (@var "X" $$unsorted)) % 65.13/65.34 (define @t140 () (not (tptp.ssList @t139))) % 65.13/65.34 (define @t141 () (tptp.cons @t123 @t139)) % 65.13/65.34 (define @t142 () (not (= @t62 @t141))) % 65.13/65.34 (define @t143 () (@list @t2 @t40 @t123 @t139)) % 65.13/65.34 (define @t144 () (not (tptp.frontsegP @t62 @t141))) % 65.13/65.34 (define @t145 () (tptp.app @t2 @t128)) % 65.13/65.34 (define @t146 () (not (tptp.ssItem @t139))) % 65.13/65.34 (define @t147 () (@var "Y" $$unsorted)) % 65.13/65.34 (define @t148 () (not (tptp.ssList @t147))) % 65.13/65.34 (define @t149 () (@list @t2 @t40 @t123 @t139 @t147)) % 65.13/65.34 (define @t150 () (tptp.lt @t40 @t139)) % 65.13/65.34 (define @t151 () (@var "Z" $$unsorted)) % 65.13/65.34 (define @t152 () (not (tptp.ssList @t151))) % 65.13/65.34 (define @t153 () (not (= (tptp.app @t145 (tptp.cons @t139 @t147)) @t151))) % 65.13/65.34 (define @t154 () (@list @t2 @t40 @t123 @t139 @t147 @t151)) % 65.13/65.34 (define @t155 () (tptp.leq @t40 @t139)) % 65.13/65.34 (define @t156 () (tptp.ssList tptp.sk3)) % 65.13/65.34 (define @t157 () (tptp.ssList tptp.sk4)) % 65.13/65.34 (define @t158 () (tptp.neq tptp.sk2 tptp.nil)) % 65.13/65.34 (define @t159 () (@var "A" $$unsorted)) % 65.13/65.34 (define @t160 () (tptp.neq tptp.sk1 tptp.nil)) % 65.13/65.34 (define @t161 () (not @t160)) % 65.13/65.34 (define @t162 () (tptp.hd tptp.sk4)) % 65.13/65.34 (define @t163 () (@list tptp.sk4)) % 65.13/65.34 (define @t164 () (not (tptp.neq @t40 @t40))) % 65.13/65.34 (define @t165 () (not (= @t40 @t40))) % 65.13/65.34 (define @t166 () (or @t165 @t164 @t61 @t61)) % 65.13/65.34 (define @t167 () (@list @t40)) % 65.13/65.34 (define @t168 () (or @t97 @t97 @t99 @t61 @t47)) % 65.13/65.34 (define @t169 () (forall @t4 @t100)) % 65.13/65.34 (define @t170 () (forall @t167 @t169)) % 65.13/65.34 (define @t171 () (forall (@list @t40 @t2) @t100)) % 65.13/65.34 (define @t172 () (not @t157)) % 65.13/65.34 (define @t173 () (tptp.neq tptp.sk4 tptp.sk4)) % 65.13/65.34 (define @t174 () (not @t173)) % 65.13/65.34 (define @t175 () (or @t174 @t172)) % 65.13/65.34 (define @t176 () (@list false false)) % 65.13/65.34 (define @t177 () (= tptp.nil tptp.sk4)) % 65.13/65.34 (define @t178 () (not @t177)) % 65.13/65.34 (define @t179 () (tptp.neq tptp.sk4 tptp.nil)) % 65.13/65.34 (define @t180 () (not @t179)) % 65.13/65.34 (define @t181 () (tptp.ssItem @t162)) % 65.13/65.34 (define @t182 () (or @t172 @t181 @t177)) % 65.13/65.34 (define @t183 () (@list false true false)) % 65.13/65.34 (define @t184 () (tptp.cons @t162 tptp.nil)) % 65.13/65.34 (define @t185 () (tptp.strictorderedP @t184)) % 65.13/65.34 (define @t186 () (not @t181)) % 65.13/65.34 (define @t187 () (or @t186 @t185)) % 65.13/65.34 (define @t188 () (tptp.skaf82 tptp.sk4)) % 65.13/65.34 (define @t189 () (tptp.skaf83 tptp.sk4)) % 65.13/65.34 (define @t190 () (tptp.cons @t189 @t188)) % 65.13/65.34 (define @t191 () (= tptp.sk4 @t190)) % 65.13/65.34 (define @t192 () (or @t172 @t191 @t177)) % 65.13/65.34 (define @t193 () (tptp.ssList @t184)) % 65.13/65.34 (define @t194 () (not @t1)) % 65.13/65.34 (define @t195 () (or @t186 @t194 @t193)) % 65.13/65.34 (define @t196 () (@list false false false)) % 65.13/65.34 (define @t197 () (@list @t184)) % 65.13/65.34 (define @t198 () (tptp.segmentP @t184 tptp.nil)) % 65.13/65.34 (define @t199 () (not @t193)) % 65.13/65.34 (define @t200 () (or @t199 @t198)) % 65.13/65.34 (define @t201 () (forall @t41 (or @t47 @t61 @t79 @t96))) % 65.13/65.34 (define @t202 () (@list tptp.nil tptp.sk3)) % 65.13/65.34 (define @t203 () (= tptp.nil tptp.sk3)) % 65.13/65.34 (define @t204 () (tptp.neq tptp.sk3 tptp.nil)) % 65.13/65.34 (define @t205 () (not @t156)) % 65.13/65.34 (define @t206 () (or @t194 @t205 @t204 @t203)) % 65.13/65.34 (define @t207 () (@list false true false false)) % 65.13/65.34 (define @t208 () (@list @t1 @t204 @t156 @t206)) % 65.13/65.34 (define @t209 () (tptp.segmentP @t184 tptp.sk3)) % 65.13/65.34 (define @t210 () (and @t203 @t198)) % 65.13/65.34 (define @t211 () (not @t203)) % 65.13/65.34 (define @t212 () (tptp.frontsegP @t184 @t184)) % 65.13/65.34 (define @t213 () (or @t199 @t212)) % 65.13/65.34 (define @t214 () (@list @t189 @t188)) % 65.13/65.34 (define @t215 () (tptp.tl @t190)) % 65.13/65.34 (define @t216 () (= @t188 @t215)) % 65.13/65.34 (define @t217 () (tptp.ssList @t188)) % 65.13/65.34 (define @t218 () (not @t217)) % 65.13/65.34 (define @t219 () (tptp.ssItem @t189)) % 65.13/65.34 (define @t220 () (not @t219)) % 65.13/65.34 (define @t221 () (or @t220 @t218 @t216)) % 65.13/65.34 (define @t222 () (tptp.tl tptp.sk4)) % 65.13/65.34 (define @t223 () (tptp.ssList @t222)) % 65.13/65.34 (define @t224 () (and @t191 @t217 @t216)) % 65.13/65.34 (define @t225 () (not @t216)) % 65.13/65.34 (define @t226 () (not @t191)) % 65.13/65.34 (define @t227 () (tptp.hd @t190)) % 65.13/65.34 (define @t228 () (= @t189 @t227)) % 65.13/65.34 (define @t229 () (or @t220 @t218 @t228)) % 65.13/65.34 (define @t230 () (tptp.cons @t189 tptp.nil)) % 65.13/65.34 (define @t231 () (= tptp.nil @t230)) % 65.13/65.34 (define @t232 () (not @t231)) % 65.13/65.34 (define @t233 () (or @t232 @t220 @t194)) % 65.13/65.34 (define @t234 () (= tptp.nil @t184)) % 65.13/65.34 (define @t235 () (not @t234)) % 65.13/65.34 (define @t236 () (not @t228)) % 65.13/65.34 (define @t237 () (and @t191 @t228 @t232)) % 65.13/65.34 (define @t238 () (tptp.frontsegP (tptp.app @t184 @t222) @t184)) % 65.13/65.34 (define @t239 () (not @t223)) % 65.13/65.34 (define @t240 () (not @t212)) % 65.13/65.34 (define @t241 () (or @t240 @t239 @t199 @t199 @t238)) % 65.13/65.34 (define @t242 () (tptp.neq tptp.nil @t184)) % 65.13/65.34 (define @t243 () (or @t199 @t194 @t242 (= @t184 tptp.nil))) % 65.13/65.34 (define @t244 () (or @t199 @t194 @t242 @t234)) % 65.13/65.34 (define @t245 () (tptp.app @t230 @t188)) % 65.13/65.34 (define @t246 () (= @t190 @t245)) % 65.13/65.34 (define @t247 () (or @t220 @t218 @t246)) % 65.13/65.34 (define @t248 () (tptp.frontsegP tptp.sk4 @t184)) % 65.13/65.34 (define @t249 () (and @t191 @t216 @t228 @t246 @t238)) % 65.13/65.34 (define @t250 () (tptp.neq tptp.sk3 @t184)) % 65.13/65.34 (define @t251 () (and @t203 @t242)) % 65.13/65.34 (define @t252 () (not @t185)) % 65.13/65.34 (define @t253 () (not @t209)) % 65.13/65.34 (define @t254 () (not @t248)) % 65.13/65.34 (define @t255 () (not @t250)) % 65.13/65.34 (define @t256 () (or @t199 @t255 @t254 @t253 @t252)) % 65.13/65.34 (assume @p1 (tptp.equalelemsP tptp.nil)) % 65.13/65.34 (assume @p2 (tptp.duplicatefreeP tptp.nil)) % 65.13/65.34 (assume @p3 (tptp.strictorderedP tptp.nil)) % 65.13/65.34 (assume @p4 (tptp.totalorderedP tptp.nil)) % 65.13/65.34 (assume @p5 (tptp.strictorderP tptp.nil)) % 65.13/65.34 (assume @p6 (tptp.totalorderP tptp.nil)) % 65.13/65.34 (assume @p7 (tptp.cyclefreeP tptp.nil)) % 65.13/65.34 (assume @p8 @t1) % 65.13/65.34 (assume @p9 (tptp.ssItem tptp.skac3)) % 65.13/65.34 (assume @p10 (tptp.ssItem tptp.skac2)) % 65.13/65.34 (assume @p11 (not (tptp.singletonP tptp.nil))) % 65.13/65.34 (assume @p12 (forall @t4 (tptp.ssItem @t3))) % 65.13/65.34 (assume @p13 (forall @t4 (tptp.ssList @t5))) % 65.13/65.34 (assume @p14 (forall @t4 (tptp.ssList @t6))) % 65.13/65.34 (assume @p15 (forall @t4 (tptp.ssList @t7))) % 65.13/65.34 (assume @p16 (forall @t4 (tptp.ssItem @t8))) % 65.13/65.34 (assume @p17 (forall @t4 (tptp.ssItem @t9))) % 65.13/65.34 (assume @p18 (forall @t4 (tptp.ssList @t10))) % 65.13/65.34 (assume @p19 (forall @t4 (tptp.ssList @t11))) % 65.13/65.34 (assume @p20 (forall @t4 (tptp.ssList @t12))) % 65.13/65.34 (assume @p21 (forall @t4 (tptp.ssItem @t13))) % 65.13/65.34 (assume @p22 (forall @t4 (tptp.ssList @t14))) % 65.13/65.34 (assume @p23 (forall @t4 (tptp.ssList @t15))) % 65.13/65.34 (assume @p24 (forall @t4 (tptp.ssList @t16))) % 65.13/65.34 (assume @p25 (forall @t4 (tptp.ssItem @t17))) % 65.13/65.34 (assume @p26 (forall @t4 (tptp.ssItem @t18))) % 65.13/65.34 (assume @p27 (forall @t4 (tptp.ssList @t19))) % 65.13/65.34 (assume @p28 (forall @t4 (tptp.ssList @t20))) % 65.13/65.34 (assume @p29 (forall @t4 (tptp.ssList @t21))) % 65.13/65.34 (assume @p30 (forall @t4 (tptp.ssItem @t22))) % 65.13/65.34 (assume @p31 (forall @t4 (tptp.ssItem @t23))) % 65.13/65.34 (assume @p32 (forall @t4 (tptp.ssList @t24))) % 65.13/65.34 (assume @p33 (forall @t4 (tptp.ssList @t25))) % 65.13/65.34 (assume @p34 (forall @t4 (tptp.ssList @t26))) % 65.13/65.34 (assume @p35 (forall @t4 (tptp.ssItem @t27))) % 65.13/65.34 (assume @p36 (forall @t4 (tptp.ssItem @t28))) % 65.13/65.34 (assume @p37 (forall @t4 (tptp.ssList @t29))) % 65.13/65.34 (assume @p38 (forall @t4 (tptp.ssList @t30))) % 65.13/65.34 (assume @p39 (forall @t4 (tptp.ssList @t31))) % 65.13/65.34 (assume @p40 (forall @t4 (tptp.ssItem @t32))) % 65.13/65.34 (assume @p41 (forall @t4 (tptp.ssItem @t33))) % 65.13/65.34 (assume @p42 (forall @t4 (tptp.ssList @t34))) % 65.13/65.34 (assume @p43 (forall @t4 (tptp.ssList @t35))) % 65.13/65.34 (assume @p44 (forall @t4 (tptp.ssList @t36))) % 65.13/65.34 (assume @p45 (forall @t4 (tptp.ssItem @t37))) % 65.13/65.34 (assume @p46 (forall @t4 (tptp.ssItem @t38))) % 65.13/65.34 (assume @p47 (forall @t4 (tptp.ssItem @t39))) % 65.13/65.34 (assume @p48 (forall @t41 (tptp.ssList (tptp.skaf48 @t2 @t40)))) % 65.13/65.34 (assume @p49 (forall @t41 (tptp.ssList @t42))) % 65.13/65.34 (assume @p50 (forall @t41 (tptp.ssList @t43))) % 65.13/65.34 (assume @p51 (forall @t41 (tptp.ssList @t44))) % 65.13/65.34 (assume @p52 (forall @t41 (tptp.ssList (tptp.skaf43 @t2 @t40)))) % 65.13/65.34 (assume @p53 (forall @t41 (tptp.ssList @t45))) % 65.13/65.34 (assume @p54 (not (= tptp.skac3 tptp.skac2))) % 65.13/65.34 (assume @p55 (forall @t4 (or @t46 (tptp.geq @t2 @t2)))) % 65.13/65.34 (assume @p56 @t48) % 65.13/65.34 (assume @p57 (forall @t4 (or @t47 (tptp.segmentP @t2 @t2)))) % 65.13/65.34 (assume @p58 (forall @t4 (or @t47 (tptp.rearsegP @t2 tptp.nil)))) % 65.13/65.34 (assume @p59 (forall @t4 (or @t47 (tptp.rearsegP @t2 @t2)))) % 65.13/65.34 (assume @p60 (forall @t4 (or @t47 (tptp.frontsegP @t2 tptp.nil)))) % 65.13/65.34 (assume @p61 @t49) % 65.13/65.34 (assume @p62 (forall @t4 (or @t46 (tptp.leq @t2 @t2)))) % 65.13/65.34 (assume @p63 (forall @t4 (or (not (tptp.lt @t2 @t2)) @t46))) % 65.13/65.34 (assume @p64 (forall @t4 (or @t46 (tptp.equalelemsP @t50)))) % 65.13/65.34 (assume @p65 (forall @t4 (or @t46 (tptp.duplicatefreeP @t50)))) % 65.13/65.34 (assume @p66 (forall @t4 (or @t46 (tptp.strictorderedP @t50)))) % 65.13/65.34 (assume @p67 (forall @t4 (or @t46 (tptp.totalorderedP @t50)))) % 65.13/65.34 (assume @p68 (forall @t4 (or @t46 (tptp.strictorderP @t50)))) % 65.13/65.34 (assume @p69 (forall @t4 (or @t46 (tptp.totalorderP @t50)))) % 65.13/65.34 (assume @p70 (forall @t4 (or @t46 (tptp.cyclefreeP @t50)))) % 65.13/65.34 (assume @p71 (forall @t4 (or (not (tptp.memberP tptp.nil @t2)) @t46))) % 65.13/65.34 (assume @p72 (forall @t41 (or @t47 @t52 @t51))) % 65.13/65.34 (assume @p73 (forall @t4 (or @t47 (= (tptp.app @t2 tptp.nil) @t2)))) % 65.13/65.34 (assume @p74 (forall @t4 (or @t47 (= (tptp.app tptp.nil @t2) @t2)))) % 65.13/65.34 (assume @p75 (forall @t4 (or @t47 (tptp.ssList @t54) @t53))) % 65.13/65.34 (assume @p76 (forall @t4 (or @t47 (tptp.ssItem @t55) @t53))) % 65.13/65.34 (assume @p77 (forall @t4 (or @t57 @t47 @t56))) % 65.13/65.34 (assume @p78 (forall @t4 (or (not @t56) @t47 @t53))) % 65.13/65.34 (assume @p79 (forall @t4 (or @t57 @t47 @t58))) % 65.13/65.34 (assume @p80 (forall @t4 (or (not @t58) @t47 @t53))) % 65.13/65.34 (assume @p81 (forall @t4 (or @t57 @t47 @t59))) % 65.13/65.34 (assume @p82 (forall @t4 (or (not @t59) @t47 @t53))) % 65.13/65.34 (assume @p83 (forall @t41 (or @t47 @t61 (tptp.ssList @t60)))) % 65.13/65.34 (assume @p84 (forall @t41 (or @t46 @t61 (tptp.ssList @t62)))) % 65.13/65.34 (assume @p85 (forall @t4 (or @t47 @t63 (tptp.leq @t37 @t38)))) % 65.13/65.34 (assume @p86 (forall @t4 (or @t47 @t63 (tptp.leq @t38 @t37)))) % 65.13/65.34 (assume @p87 (forall @t4 (or (not (= @t8 @t9)) @t47 @t64))) % 65.13/65.34 (assume @p88 (forall @t4 (or (not (tptp.lt @t18 @t17)) @t47 @t65))) % 65.13/65.34 (assume @p89 (forall @t4 (or (not (tptp.leq @t23 @t22)) @t47 @t66))) % 65.13/65.34 (assume @p90 (forall @t4 (or (not (tptp.lt @t27 @t28)) @t47 @t67))) % 65.13/65.34 (assume @p91 (forall @t4 (or (not (tptp.lt @t28 @t27)) @t47 @t67))) % 65.13/65.34 (assume @p92 (forall @t4 (or (not (tptp.leq @t32 @t33)) @t47 @t68))) % 65.13/65.34 (assume @p93 (forall @t4 (or (not (tptp.leq @t33 @t32)) @t47 @t68))) % 65.13/65.34 (assume @p94 @t71) % 65.13/65.34 (assume @p95 @t74) % 65.13/65.34 (assume @p96 @t77) % 65.13/65.34 (assume @p97 (forall @t41 (or (not (= @t62 @t40)) @t46 @t61))) % 65.13/65.34 (assume @p98 @t81) % 65.13/65.34 (assume @p99 (forall @t4 (or (not (tptp.singletonP @t2)) @t47 (= (tptp.cons @t39 tptp.nil) @t2)))) % 65.13/65.34 (assume @p100 (forall @t41 (or @t46 @t82 @t79 @t78))) % 65.13/65.34 (assume @p101 (forall @t41 (or @t85 @t82 @t46 @t83))) % 65.13/65.34 (assume @p102 (forall @t4 (or @t47 (= (tptp.cons @t55 @t54) @t2) @t53))) % 65.13/65.34 (assume @p103 (forall @t41 (or @t87 @t82 @t46 @t86))) % 65.13/65.34 (assume @p104 (forall @t41 (or @t85 @t46 @t82 @t88))) % 65.13/65.34 (assume @p105 (forall @t41 (or @t90 @t82 @t46 @t89))) % 65.13/65.34 (assume @p106 (forall @t41 (or @t92 @t46 @t82 @t91))) % 65.13/65.34 (assume @p107 @t95) % 65.13/65.34 (assume @p108 (forall @t41 (or @t87 (not @t88) @t46 @t82))) % 65.13/65.34 (assume @p109 (forall @t41 (or @t97 @t85 @t82 @t46))) % 65.13/65.34 (assume @p110 (forall @t41 (or @t57 @t47 @t82 (tptp.strictorderedP @t98)))) % 65.13/65.34 (assume @p111 (forall @t41 (or @t57 @t47 @t82 (tptp.totalorderedP @t98)))) % 65.13/65.34 (assume @p112 (forall @t41 (or @t85 (not @t86) @t46 @t82))) % 65.13/65.34 (assume @p113 @t101) % 65.13/65.34 (assume @p114 (forall @t41 (or (not (= @t50 @t40)) @t46 @t61 (tptp.singletonP @t40)))) % 65.13/65.34 (assume @p115 (forall @t41 (or @t97 @t99 @t82 @t46))) % 65.13/65.34 (assume @p116 (forall @t41 (or @t104 @t61 @t47 @t53))) % 65.13/65.34 (assume @p117 (forall @t41 (or @t104 @t61 @t47 @t105))) % 65.13/65.34 (assume @p118 @t108) % 65.13/65.34 (assume @p119 (forall @t41 (or @t92 @t82 @t46 @t84 @t96))) % 65.13/65.34 (assume @p120 (forall @t41 (or @t47 @t61 @t105 (= (tptp.hd @t60) @t109)))) % 65.13/65.34 (assume @p121 (forall @t41 (or @t112 @t61 @t46 @t110 @t105))) % 65.13/65.34 (assume @p122 (forall @t41 (or @t115 @t61 @t46 @t113 @t105))) % 65.13/65.34 (assume @p123 (forall @t41 (or @t90 (not @t91) @t46 @t82 @t78))) % 65.13/65.34 (assume @p124 (forall @t41 (or @t116 (not (tptp.segmentP @t40 @t2)) @t47 @t61 @t78))) % 65.13/65.34 (assume @p125 (forall @t41 (or @t117 (not (tptp.rearsegP @t40 @t2)) @t47 @t61 @t78))) % 65.13/65.34 (assume @p126 (forall @t41 (or @t118 (not (tptp.frontsegP @t40 @t2)) @t47 @t61 @t78))) % 65.13/65.34 (assume @p127 (forall @t41 (or @t92 @t119 @t46 @t82 @t78))) % 65.13/65.34 (assume @p128 (forall @t41 (or @t117 @t61 @t47 (= (tptp.app @t43 @t40) @t2)))) % 65.13/65.34 (assume @p129 (forall @t41 (or @t118 @t61 @t47 (= (tptp.app @t40 @t44) @t2)))) % 65.13/65.34 (assume @p130 (forall @t41 (or @t47 @t61 @t105 (= (tptp.tl @t60) (tptp.app @t120 @t2))))) % 65.13/65.34 (assume @p131 (forall @t41 (or @t112 @t61 @t46 @t121 @t105))) % 65.13/65.34 (assume @p132 (forall @t41 (or @t115 @t61 @t46 @t122 @t105))) % 65.13/65.34 (assume @p133 (forall @t126 (or @t117 @t125 @t61 @t47 (tptp.rearsegP @t124 @t40)))) % 65.13/65.34 (assume @p134 (forall @t126 (or @t118 @t125 @t61 @t47 (tptp.frontsegP @t127 @t40)))) % 65.13/65.34 (assume @p135 (forall @t126 (or @t97 @t125 @t82 @t46 (tptp.memberP @t128 @t2)))) % 65.13/65.34 (assume @p136 (forall @t126 (or @t131 @t47 @t130 @t82 (tptp.memberP @t129 @t40)))) % 65.13/65.34 (assume @p137 (forall @t126 (or @t131 @t125 @t47 @t82 (tptp.memberP @t127 @t40)))) % 65.13/65.34 (assume @p138 (forall @t126 (or @t131 @t47 @t125 @t82 (tptp.memberP @t124 @t40)))) % 65.13/65.34 (assume @p139 (forall @t4 (or @t47 @t64 (= (tptp.app @t7 (tptp.cons @t9 (tptp.cons @t8 @t6))) @t2)))) % 65.13/65.34 (assume @p140 (forall @t126 (or @t132 @t47 @t61 @t125 (tptp.rearsegP @t123 @t40)))) % 65.13/65.34 (assume @p141 (forall @t126 (or @t132 @t61 @t47 @t125 (tptp.frontsegP @t123 @t2)))) % 65.13/65.34 (assume @p142 (forall @t41 (or @t57 (not @t105) @t61 @t47 @t103))) % 65.13/65.34 (assume @p143 (forall @t126 (or @t87 (not (tptp.gt @t40 @t123)) @t130 @t82 @t46 (tptp.gt @t2 @t123)))) % 65.13/65.34 (assume @p144 (forall @t126 (or @t92 @t134 @t130 @t82 @t46 @t133))) % 65.13/65.34 (assume @p145 (forall @t126 (or @t90 (not (tptp.geq @t40 @t123)) @t130 @t82 @t46 (tptp.geq @t2 @t123)))) % 65.13/65.34 (assume @p146 (forall @t126 (or @t47 @t61 @t125 (= (tptp.app @t135 @t2) (tptp.app @t123 @t60))))) % 65.13/65.34 (assume @p147 (forall @t126 (or (not (= @t102 @t127)) @t61 @t47 @t125 @t136))) % 65.13/65.34 (assume @p148 (forall @t126 (or (not (= @t102 @t135)) @t47 @t61 @t125 @t137))) % 65.13/65.34 (assume @p149 (forall @t126 (or @t116 (not (tptp.segmentP @t40 @t123)) @t125 @t61 @t47 (tptp.segmentP @t2 @t123)))) % 65.13/65.34 (assume @p150 (forall @t126 (or @t117 (not (tptp.rearsegP @t40 @t123)) @t125 @t61 @t47 (tptp.rearsegP @t2 @t123)))) % 65.13/65.34 (assume @p151 (forall @t126 (or @t118 (not (tptp.frontsegP @t40 @t123)) @t125 @t61 @t47 (tptp.frontsegP @t2 @t123)))) % 65.13/65.34 (assume @p152 (forall @t126 (or @t85 @t134 @t130 @t82 @t46 @t133))) % 65.13/65.34 (assume @p153 (forall @t126 (or @t92 (not (tptp.leq @t40 @t123)) @t130 @t82 @t46 (tptp.leq @t2 @t123)))) % 65.13/65.34 (assume @p154 (forall @t126 (or @t46 @t61 @t125 (= (tptp.cons @t2 (tptp.app @t40 @t123)) (tptp.app @t62 @t123))))) % 65.13/65.34 (assume @p155 (forall @t126 (or (not (tptp.memberP @t102 @t123)) @t61 @t47 @t130 @t138 (tptp.memberP @t2 @t123)))) % 65.13/65.34 (assume @p156 (forall @t41 (or (not @t122) (not @t113) @t61 @t46 @t114 @t105))) % 65.13/65.34 (assume @p157 (forall @t41 (or (not @t121) (not @t110) @t61 @t46 @t111 @t105))) % 65.13/65.34 (assume @p158 (forall @t126 (or (not (tptp.memberP @t62 @t123)) @t61 @t46 @t130 @t138 (= @t123 @t2)))) % 65.13/65.34 (assume @p159 (forall @t4 (or @t47 @t52 (= (tptp.app (tptp.app @t12 (tptp.cons @t13 @t11)) (tptp.cons @t13 @t10)) @t2)))) % 65.13/65.34 (assume @p160 (forall @t4 (or @t47 @t65 (= (tptp.app (tptp.app @t16 (tptp.cons @t18 @t15)) (tptp.cons @t17 @t14)) @t2)))) % 65.13/65.34 (assume @p161 (forall @t4 (or @t47 @t66 (= (tptp.app (tptp.app @t21 (tptp.cons @t23 @t20)) (tptp.cons @t22 @t19)) @t2)))) % 65.13/65.34 (assume @p162 (forall @t4 (or @t47 @t67 (= (tptp.app (tptp.app @t26 (tptp.cons @t28 @t25)) (tptp.cons @t27 @t24)) @t2)))) % 65.13/65.34 (assume @p163 (forall @t4 (or @t47 @t68 (= (tptp.app (tptp.app @t31 (tptp.cons @t33 @t30)) (tptp.cons @t32 @t29)) @t2)))) % 65.13/65.34 (assume @p164 (forall @t4 (or @t47 @t63 (= (tptp.app (tptp.app @t36 (tptp.cons @t38 @t35)) (tptp.cons @t37 @t34)) @t2)))) % 65.13/65.34 (assume @p165 (forall @t41 (or @t116 @t61 @t47 (= (tptp.app (tptp.app @t42 @t40) (tptp.skaf48 @t40 @t2)) @t2)))) % 65.13/65.34 (assume @p166 (forall @t41 (or @t131 @t82 @t47 (= (tptp.app @t45 (tptp.cons @t40 (tptp.skaf43 @t40 @t2))) @t2)))) % 65.13/65.34 (assume @p167 (forall @t143 (or @t142 @t130 @t46 @t140 @t61 @t137))) % 65.13/65.34 (assume @p168 (forall @t143 (or @t142 @t130 @t46 @t140 @t61 (= @t139 @t40)))) % 65.13/65.34 (assume @p169 (forall @t143 (or @t116 @t125 @t140 @t61 @t47 (tptp.segmentP (tptp.app (tptp.app @t139 @t2) @t123) @t40)))) % 65.13/65.34 (assume @p170 (forall @t143 (or (not (= (tptp.app @t102 @t123) @t139)) @t125 @t47 @t61 @t140 (tptp.segmentP @t139 @t40)))) % 65.13/65.34 (assume @p171 (forall @t143 (or @t144 @t140 @t61 @t130 @t46 (tptp.frontsegP @t40 @t139)))) % 65.13/65.34 (assume @p172 (forall @t143 (or (not (= @t145 @t139)) @t125 @t47 @t82 @t140 (tptp.memberP @t139 @t40)))) % 65.13/65.34 (assume @p173 (forall @t143 (or @t144 @t140 @t61 @t130 @t46 @t137))) % 65.13/65.34 (assume @p174 (forall @t41 (or (not (= @t54 @t120)) (not (= @t55 @t109)) @t47 @t61 @t105 @t96 @t53))) % 65.13/65.34 (assume @p175 (forall @t143 (or @t118 (not (= @t123 @t139)) @t61 @t47 @t146 @t130 (tptp.frontsegP @t129 (tptp.cons @t139 @t40))))) % 65.13/65.34 (assume @p176 (forall @t149 (or (not (= (tptp.app @t145 (tptp.cons @t40 @t139)) @t147)) @t140 @t125 @t47 @t82 (not (tptp.duplicatefreeP @t147)) @t148))) % 65.13/65.34 (assume @p177 (forall @t149 (or (not (= (tptp.app @t2 (tptp.cons @t40 @t141)) @t147)) @t140 @t47 @t130 @t82 (not (tptp.equalelemsP @t147)) @t148 @t136))) % 65.13/65.34 (assume @p178 (forall @t154 (or @t153 @t148 @t125 @t47 @t146 @t82 (not (tptp.strictorderedP @t151)) @t152 @t150))) % 65.13/65.34 (assume @p179 (forall @t154 (or @t153 @t148 @t125 @t47 @t146 @t82 (not (tptp.totalorderedP @t151)) @t152 @t155))) % 65.13/65.34 (assume @p180 (forall @t154 (or @t153 @t148 @t125 @t47 @t146 @t82 (not (tptp.strictorderP @t151)) @t152 @t150 (tptp.lt @t139 @t40)))) % 65.13/65.34 (assume @p181 (forall @t154 (or @t153 @t148 @t125 @t47 @t146 @t82 (not (tptp.totalorderP @t151)) @t152 @t155 (tptp.leq @t139 @t40)))) % 65.13/65.34 (assume @p182 (forall @t154 (or @t92 @t119 (not (= (tptp.app (tptp.app @t123 (tptp.cons @t2 @t139)) (tptp.cons @t40 @t147)) @t151)) @t148 @t140 @t125 @t82 @t46 (not (tptp.cyclefreeP @t151)) @t152))) % 65.13/65.34 (assume @p183 (tptp.ssList tptp.sk1)) % 65.13/65.34 (assume @p184 (tptp.ssList tptp.sk2)) % 65.13/65.34 (assume @p185 @t156) % 65.13/65.34 (assume @p186 @t157) % 65.13/65.34 (assume @p187 (= tptp.sk2 tptp.sk4)) % 65.13/65.34 (assume @p188 (= tptp.sk1 tptp.sk3)) % 65.13/65.34 (assume @p189 @t158) % 65.13/65.34 (assume @p190 (tptp.frontsegP tptp.sk4 tptp.sk3)) % 65.13/65.34 (assume @p191 (tptp.strictorderedP tptp.sk3)) % 65.13/65.34 (assume @p192 (forall (@list @t159) (or (not (tptp.ssList @t159)) (not (tptp.neq tptp.sk3 @t159)) (not (tptp.frontsegP tptp.sk4 @t159)) (not (tptp.segmentP @t159 tptp.sk3)) (not (tptp.strictorderedP @t159))))) % 65.13/65.34 (assume @p193 @t161) % 65.13/65.34 (step @p194 :rule instantiate :premises (@p66) :args ((@list @t162))) % 65.13/65.34 (step @p195 :rule instantiate :premises (@p76) :args (@t163)) % 65.13/65.34 (step @p196 :rule aci_norm :args ((= (or false @t164 @t61 @t61) (or @t164 @t61)))) % 65.13/65.34 (step @p197 :rule refl :args (@t61)) % 65.13/65.34 (step @p198 :rule refl :args (@t164)) % 65.13/65.34 (step @p199 :rule evaluate :args ((not true))) % 65.13/65.34 (step @p200 :rule eq-refl :args (@t40)) % 65.13/65.34 (step @p201 :rule cong :premises (@p200) :args (@t165)) % 65.13/65.34 (step @p202 :rule trans :premises (@p201 @p199)) % 65.13/65.34 (step @p203 :rule nary_cong :premises (@p202 @p198 @p197 @p197) :args (@t166)) % 65.13/65.34 (step @p204 :rule trans :premises (@p203 @p196)) % 65.13/65.34 (step @p205 :rule cong :premises (@p204) :args ((forall @t167 @t166))) % 65.13/65.34 (step @p206 :rule quant-var-elim-eq :args ((= (forall @t4 @t168) @t166))) % 65.13/65.34 (step @p207 :rule aci_norm :args ((= @t100 @t168))) % 65.13/65.34 (step @p208 :rule cong :premises (@p207) :args (@t169)) % 65.13/65.34 (step @p209 :rule trans :premises (@p208 @p206)) % 65.13/65.34 (step @p210 :rule cong :premises (@p209) :args (@t170)) % 65.13/65.34 (step @p211 :rule quant-merge-prenex :args ((= @t170 @t171))) % 65.13/65.34 (step @p212 :rule symm :premises (@p211)) % 65.13/65.34 (step @p213 :rule quant_var_reordering :args ((= @t101 @t171))) % 65.13/65.34 (step @p214 :rule trans :premises (@p213 @p212 @p210)) % 65.13/65.34 (step @p215 :rule trans :premises (@p214 @p205)) % 65.13/65.34 (step @p216 :rule eq_resolve :premises (@p113 @p215)) % 65.13/65.34 (step @p217 :rule instantiate :premises (@p216) :args (@t163)) % 65.13/65.34 (step @p218 :rule cnf_or_pos :args (@t175)) % 65.13/65.34 (step @p219 :rule reordering :premises (@p218) :args ((or @t172 @t174 (not @t175)))) % 65.13/65.34 (step @p220 :rule chain_m_resolution :premises (@p219 @p186 @p217) :args (@t174 @t176 (@list @t157 @t175))) % 65.13/65.34 (step @p221 :rule refl :args (tptp.nil)) % 65.13/65.34 (step @p222 :rule cong :premises (@p187 @p221) :args (@t158)) % 65.13/65.34 (step @p223 :rule eq_resolve :premises (@p189 @p222)) % 65.13/65.34 (step @p224 :rule bool-double-not-elim :args (@t173)) % 65.13/65.34 (step @p225 :rule refl :args (@t178)) % 65.13/65.34 (step @p226 :rule refl :args (@t180)) % 65.13/65.34 (step @p227 :rule nary_cong :premises (@p226 @p225 @p224) :args ((or @t180 @t178 (not @t174)))) % 65.13/65.34 (assume-push @p505 @t179) % 65.13/65.34 (assume-push @p506 @t177) % 65.13/65.34 (assume-push @p507 @t174) % 65.13/65.34 (step @p231 :rule evaluate :args ((= false true))) % 65.13/65.34 (step @p232 :rule true_intro :premises (@p223)) % 65.13/65.34 (step @p233 :rule symm :premises (@p506)) % 65.13/65.34 (step @p234 :rule refl :args (tptp.sk4)) % 65.13/65.34 (step @p235 :rule cong :premises (@p234 @p233) :args (@t173)) % 65.13/65.34 (step @p236 :rule false_intro :premises (@p220)) % 65.13/65.34 (step @p237 :rule symm :premises (@p236)) % 65.13/65.34 (step @p238 :rule trans :premises (@p237 @p235 @p232)) % 65.13/65.34 (step @p239 false :rule eq_resolve :premises (@p238 @p231)) % 65.13/65.34 (step-pop @p508 :rule scope :premises (@p239)) % 65.13/65.34 (step-pop @p509 :rule scope :premises (@p508)) % 65.13/65.34 (step-pop @p510 :rule scope :premises (@p509)) % 65.13/65.34 (step @p240 :rule process_scope :premises (@p510) :args (false)) % 65.13/65.34 (step @p244 :rule not_and :premises (@p240)) % 65.13/65.34 (step @p245 :rule eq_resolve :premises (@p244 @p227)) % 65.13/65.34 (step @p246 :rule reordering :premises (@p245) :args ((or @t180 @t173 @t178))) % 65.13/65.34 (step @p247 :rule chain_m_resolution :premises (@p246 @p223 @p220) :args (@t178 (@list false true) (@list @t179 @t173))) % 65.13/65.34 (step @p248 :rule cnf_or_pos :args (@t182)) % 65.13/65.34 (step @p249 :rule reordering :premises (@p248) :args ((or @t172 @t181 @t177 (not @t182)))) % 65.13/65.34 (step @p250 :rule chain_m_resolution :premises (@p249 @p186 @p247 @p195) :args (@t181 @t183 (@list @t157 @t177 @t182))) % 65.13/65.34 (step @p251 :rule cnf_or_pos :args (@t187)) % 65.13/65.34 (step @p252 :rule reordering :premises (@p251) :args ((or @t186 @t185 (not @t187)))) % 65.13/65.34 (step @p253 :rule chain_m_resolution :premises (@p252 @p250 @p194) :args (@t185 @t176 (@list @t181 @t187))) % 65.13/65.34 (step @p254 :rule refl :args (@t53)) % 65.13/65.34 (step @p255 :rule eq-symm :args (@t93 @t2)) % 65.13/65.34 (step @p256 :rule refl :args (@t47)) % 65.13/65.34 (step @p257 :rule nary_cong :premises (@p256 @p255 @p254) :args (@t94)) % 65.13/65.34 (step @p258 :rule cong :premises (@p257) :args (@t95)) % 65.13/65.34 (step @p259 :rule eq_resolve :premises (@p107 @p258)) % 65.13/65.34 (step @p260 :rule instantiate :premises (@p259) :args (@t163)) % 65.13/65.34 (step @p261 :rule cnf_or_pos :args (@t192)) % 65.13/65.34 (step @p262 :rule reordering :premises (@p261) :args ((or @t172 @t177 @t191 (not @t192)))) % 65.13/65.34 (step @p263 :rule chain_m_resolution :premises (@p262 @p186 @p247 @p260) :args (@t191 @t183 (@list @t157 @t177 @t192))) % 65.13/65.34 (step @p264 :rule instantiate :premises (@p84) :args ((@list @t162 tptp.nil))) % 65.13/65.34 (step @p265 :rule cnf_or_pos :args (@t195)) % 65.13/65.34 (step @p266 :rule reordering :premises (@p265) :args ((or @t194 @t186 @t193 (not @t195)))) % 65.13/65.34 (step @p267 :rule chain_m_resolution :premises (@p266 @p8 @p250 @p264) :args (@t193 @t196 (@list @t1 @t181 @t195))) % 65.13/65.34 (assume-push @p511 @t48) % 65.13/65.34 (step @p269 :rule instantiate :premises (@p56) :args (@t197)) % 65.13/65.34 (step-pop @p512 :rule scope :premises (@p269)) % 65.13/65.34 (step @p270 :rule process_scope :premises (@p512) :args (@t200)) % 65.13/65.34 (step @p272 :rule implies_elim :premises (@p270)) % 65.13/65.34 (step @p273 :rule cnf_or_pos :args (@t200)) % 65.13/65.34 (step @p274 :rule reordering :premises (@p273) :args ((or @t199 @t198 (not @t200)))) % 65.13/65.34 (step @p275 :rule eq-symm :args (@t40 @t2)) % 65.13/65.34 (step @p276 :rule refl :args (@t79)) % 65.13/65.34 (step @p277 :rule nary_cong :premises (@p256 @p197 @p276 @p275) :args (@t80)) % 65.13/65.34 (step @p278 :rule cong :premises (@p277) :args (@t81)) % 65.13/65.34 (step @p279 :rule eq_resolve :premises (@p98 @p278)) % 65.13/65.34 (assume-push @p513 @t201) % 65.13/65.34 (step @p281 :rule instantiate :premises (@p279) :args (@t202)) % 65.13/65.34 (step-pop @p514 :rule scope :premises (@p281)) % 65.13/65.34 (step @p282 :rule process_scope :premises (@p514) :args (@t206)) % 65.13/65.34 (step @p284 :rule implies_elim :premises (@p282)) % 65.13/65.34 (step @p285 :rule cong :premises (@p188 @p221) :args (@t160)) % 65.13/65.34 (step @p286 :rule cong :premises (@p285) :args (@t161)) % 65.13/65.34 (step @p287 :rule eq_resolve :premises (@p193 @p286)) % 65.13/65.34 (step @p288 :rule cnf_or_pos :args (@t206)) % 65.13/65.34 (step @p289 :rule reordering :premises (@p288) :args ((or @t194 @t204 @t205 @t203 (not @t206)))) % 65.13/65.34 (assume-push @p515 @t203) % 65.13/65.34 (assume-push @p516 @t198) % 65.13/65.34 (assume-push @p517 @t198) % 65.13/65.34 (assume-push @p518 @t203) % 65.13/65.34 (step @p294 :rule true_intro :premises (@p516)) % 65.13/65.34 (step @p281 :rule instantiate :premises (@p279) :args (@t202)) % 65.13/65.34 (step @p295 :rule chain_m_resolution :premises (@p289 @p8 @p287 @p185 @p281) :args (@t203 @t207 @t208)) % 65.13/65.34 (step @p296 :rule symm :premises (@p295)) % 65.13/65.34 (step @p297 :rule refl :args (@t184)) % 65.13/65.34 (step @p298 :rule cong :premises (@p297 @p296) :args (@t209)) % 65.13/65.34 (step @p299 :rule trans :premises (@p298 @p294)) % 65.13/65.34 (step @p300 :rule true_elim :premises (@p299)) % 65.13/65.34 (step-pop @p519 :rule scope :premises (@p300)) % 65.13/65.34 (step-pop @p520 :rule scope :premises (@p519)) % 65.13/65.34 (step @p301 :rule process_scope :premises (@p520) :args (@t209)) % 65.13/65.34 (step @p304 :rule instantiate :premises (@p279) :args (@t202)) % 65.13/65.34 (step @p305 :rule chain_m_resolution :premises (@p289 @p8 @p287 @p185 @p304) :args (@t203 @t207 @t208)) % 65.13/65.34 (step @p306 :rule and_intro :premises (@p516 @p305)) % 65.13/65.34 (step @p307 :rule modus_ponens :premises (@p306 @p301)) % 65.13/65.34 (step-pop @p521 :rule scope :premises (@p307)) % 65.13/65.34 (step-pop @p522 :rule scope :premises (@p521)) % 65.13/65.34 (step @p308 :rule process_scope :premises (@p522) :args (@t209)) % 65.13/65.34 (step @p311 :rule implies_elim :premises (@p308)) % 65.13/65.34 (step @p312 :rule cnf_and_neg :args (@t210)) % 65.13/65.34 (step @p313 :rule resolution :premises (@p312 @p311) :args (true @t210)) % 65.13/65.34 (step @p314 :rule reordering :premises (@p313) :args ((or @t211 @t209 (not @t198)))) % 65.13/65.34 (assume-push @p523 @t49) % 65.13/65.34 (step @p316 :rule instantiate :premises (@p61) :args (@t197)) % 65.13/65.34 (step-pop @p524 :rule scope :premises (@p316)) % 65.13/65.34 (step @p317 :rule process_scope :premises (@p524) :args (@t213)) % 65.13/65.34 (step @p319 :rule implies_elim :premises (@p317)) % 65.13/65.34 (step @p320 :rule cnf_or_pos :args (@t213)) % 65.13/65.34 (step @p321 :rule reordering :premises (@p320) :args ((or @t199 @t212 (not @t213)))) % 65.13/65.34 (step @p322 :rule instantiate :premises (@p13) :args (@t163)) % 65.13/65.34 (step @p323 :rule eq-symm :args (@t69 @t40)) % 65.13/65.34 (step @p324 :rule refl :args (@t46)) % 65.13/65.34 (step @p325 :rule nary_cong :premises (@p324 @p197 @p323) :args (@t70)) % 65.13/65.34 (step @p326 :rule cong :premises (@p325) :args (@t71)) % 65.13/65.34 (step @p327 :rule eq_resolve :premises (@p94 @p326)) % 65.13/65.34 (step @p328 :rule instantiate :premises (@p327) :args (@t214)) % 65.13/65.34 (step @p329 :rule instantiate :premises (@p12) :args (@t163)) % 65.13/65.34 (step @p330 :rule cnf_or_pos :args (@t221)) % 65.13/65.34 (step @p331 :rule reordering :premises (@p330) :args ((or @t220 @t218 @t216 (not @t221)))) % 65.13/65.34 (step @p332 :rule chain_m_resolution :premises (@p331 @p329 @p322 @p328) :args (@t216 @t196 (@list @t219 @t217 @t221))) % 65.13/65.34 (assume-push @p525 @t191) % 65.13/65.34 (assume-push @p526 @t217) % 65.13/65.34 (assume-push @p527 @t216) % 65.13/65.34 (assume-push @p528 @t217) % 65.13/65.34 (assume-push @p529 @t216) % 65.13/65.34 (assume-push @p530 @t191) % 65.13/65.34 (step @p339 :rule true_intro :premises (@p322)) % 65.13/65.34 (step @p340 :rule symm :premises (@p332)) % 65.13/65.34 (step @p341 :rule cong :premises (@p525) :args (@t222)) % 65.13/65.34 (step @p342 :rule trans :premises (@p341 @p340)) % 65.13/65.34 (step @p343 :rule cong :premises (@p342) :args (@t223)) % 65.13/65.34 (step @p344 :rule trans :premises (@p343 @p339)) % 65.13/65.34 (step @p345 :rule true_elim :premises (@p344)) % 65.13/65.34 (step-pop @p531 :rule scope :premises (@p345)) % 65.13/65.34 (step-pop @p532 :rule scope :premises (@p531)) % 65.13/65.34 (step-pop @p533 :rule scope :premises (@p532)) % 65.13/65.34 (step @p346 :rule process_scope :premises (@p533) :args (@t223)) % 65.13/65.34 (step @p350 :rule and_intro :premises (@p322 @p332 @p525)) % 65.13/65.34 (step @p351 :rule modus_ponens :premises (@p350 @p346)) % 65.13/65.34 (step-pop @p534 :rule scope :premises (@p351)) % 65.13/65.34 (step-pop @p535 :rule scope :premises (@p534)) % 65.13/65.34 (step-pop @p536 :rule scope :premises (@p535)) % 65.13/65.34 (step @p352 :rule process_scope :premises (@p536) :args (@t223)) % 65.13/65.34 (step @p356 :rule implies_elim :premises (@p352)) % 65.13/65.34 (step @p357 :rule cnf_and_neg :args (@t224)) % 65.13/65.34 (step @p358 :rule resolution :premises (@p357 @p356) :args (true @t224)) % 65.13/65.34 (step @p359 :rule reordering :premises (@p358) :args ((or @t226 @t218 @t223 @t225))) % 65.13/65.34 (step @p360 :rule eq-symm :args (@t72 @t2)) % 65.13/65.34 (step @p361 :rule nary_cong :premises (@p324 @p197 @p360) :args (@t73)) % 65.13/65.34 (step @p362 :rule cong :premises (@p361) :args (@t74)) % 65.13/65.34 (step @p363 :rule eq_resolve :premises (@p95 @p362)) % 65.13/65.34 (step @p364 :rule instantiate :premises (@p363) :args (@t214)) % 65.13/65.34 (step @p365 :rule cnf_or_pos :args (@t229)) % 65.13/65.34 (step @p366 :rule reordering :premises (@p365) :args ((or @t220 @t218 @t228 (not @t229)))) % 65.13/65.34 (step @p367 :rule chain_m_resolution :premises (@p366 @p329 @p322 @p364) :args (@t228 @t196 (@list @t219 @t217 @t229))) % 65.13/65.34 (step @p368 :rule eq-symm :args (@t62 tptp.nil)) % 65.13/65.34 (step @p369 :rule cong :premises (@p368) :args (@t75)) % 65.13/65.34 (step @p370 :rule nary_cong :premises (@p369 @p324 @p197) :args (@t76)) % 65.13/65.34 (step @p371 :rule cong :premises (@p370) :args (@t77)) % 65.13/65.34 (step @p372 :rule eq_resolve :premises (@p96 @p371)) % 65.13/65.34 (step @p373 :rule instantiate :premises (@p372) :args ((@list @t189 tptp.nil))) % 65.13/65.34 (step @p374 :rule cnf_or_pos :args (@t233)) % 65.13/65.34 (step @p375 :rule reordering :premises (@p374) :args ((or @t194 @t220 @t232 (not @t233)))) % 65.13/65.34 (step @p376 :rule chain_m_resolution :premises (@p375 @p8 @p329 @p373) :args (@t232 @t196 (@list @t1 @t219 @t233))) % 65.13/65.34 (step @p377 :rule refl :args (@t235)) % 65.13/65.34 (step @p378 :rule bool-double-not-elim :args (@t231)) % 65.13/65.34 (step @p379 :rule refl :args (@t236)) % 65.13/65.34 (step @p380 :rule refl :args (@t226)) % 65.13/65.34 (step @p381 :rule nary_cong :premises (@p380 @p379 @p378 @p377) :args ((or @t226 @t236 (not @t232) @t235))) % 65.13/65.34 (assume-push @p537 @t191) % 65.13/65.34 (assume-push @p538 @t228) % 65.13/65.34 (assume-push @p539 @t232) % 65.13/65.34 (assume-push @p540 @t232) % 65.13/65.34 (assume-push @p541 @t228) % 65.13/65.34 (assume-push @p542 @t191) % 65.13/65.34 (step @p388 :rule false_intro :premises (@p376)) % 65.13/65.34 (step @p389 :rule symm :premises (@p367)) % 65.13/65.34 (step @p390 :rule cong :premises (@p537) :args (@t162)) % 65.13/65.34 (step @p391 :rule trans :premises (@p390 @p389)) % 65.13/65.34 (step @p392 :rule cong :premises (@p391 @p221) :args (@t184)) % 65.13/65.34 (step @p393 :rule cong :premises (@p221 @p392) :args (@t234)) % 65.13/65.34 (step @p394 :rule trans :premises (@p393 @p388)) % 65.13/65.34 (step @p395 :rule false_elim :premises (@p394)) % 65.13/65.34 (step-pop @p543 :rule scope :premises (@p395)) % 65.13/65.34 (step-pop @p544 :rule scope :premises (@p543)) % 65.13/65.34 (step-pop @p545 :rule scope :premises (@p544)) % 65.13/65.34 (step @p396 :rule process_scope :premises (@p545) :args (@t235)) % 65.13/65.34 (step @p400 :rule and_intro :premises (@p376 @p367 @p537)) % 65.13/65.34 (step @p401 :rule modus_ponens :premises (@p400 @p396)) % 65.13/65.34 (step-pop @p546 :rule scope :premises (@p401)) % 65.13/65.34 (step-pop @p547 :rule scope :premises (@p546)) % 65.13/65.34 (step-pop @p548 :rule scope :premises (@p547)) % 65.13/65.34 (step @p402 :rule process_scope :premises (@p548) :args (@t235)) % 65.13/65.34 (step @p406 :rule implies_elim :premises (@p402)) % 65.13/65.34 (step @p407 :rule cnf_and_neg :args (@t237)) % 65.13/65.34 (step @p408 :rule resolution :premises (@p407 @p406) :args (true @t237)) % 65.13/65.34 (step @p409 :rule eq_resolve :premises (@p408 @p381)) % 65.13/65.34 (step @p410 :rule instantiate :premises (@p134) :args ((@list @t184 @t184 @t222))) % 65.13/65.34 (step @p411 :rule cnf_or_pos :args (@t241)) % 65.13/65.34 (step @p412 :rule factoring :premises (@p411)) % 65.13/65.34 (step @p413 :rule reordering :premises (@p412) :args ((or @t239 @t199 @t240 @t238 (not @t241)))) % 65.13/65.34 (step @p414 :rule eq-symm :args (@t184 tptp.nil)) % 65.13/65.34 (step @p415 :rule refl :args (@t242)) % 65.13/65.34 (step @p416 :rule refl :args (@t194)) % 65.13/65.34 (step @p417 :rule refl :args (@t199)) % 65.13/65.34 (step @p418 :rule nary_cong :premises (@p417 @p416 @p415 @p414) :args (@t243)) % 65.13/65.34 (step @p419 :rule refl :args (@t201)) % 65.13/65.34 (step @p420 :rule cong :premises (@p419 @p418) :args ((=> @t201 @t243))) % 65.13/65.34 (assume-push @p549 @t201) % 65.13/65.34 (step @p422 :rule instantiate :premises (@p279) :args ((@list @t184 tptp.nil))) % 65.13/65.34 (step-pop @p550 :rule scope :premises (@p422)) % 65.13/65.34 (step @p423 :rule process_scope :premises (@p550) :args (@t243)) % 65.13/65.34 (step @p425 :rule eq_resolve :premises (@p423 @p420)) % 65.13/65.34 (step @p426 :rule implies_elim :premises (@p425)) % 65.13/65.34 (step @p427 :rule chain_m_resolution :premises (@p426 @p279) :args (@t244 (@list false) (@list @t201))) % 65.13/65.34 (step @p428 :rule cnf_or_pos :args (@t244)) % 65.13/65.34 (step @p429 :rule reordering :premises (@p428) :args ((or @t194 @t199 @t234 @t242 (not @t244)))) % 65.13/65.34 (step @p430 :rule eq-symm :args (@t106 @t62)) % 65.13/65.34 (step @p431 :rule nary_cong :premises (@p324 @p197 @p430) :args (@t107)) % 65.13/65.34 (step @p432 :rule cong :premises (@p431) :args (@t108)) % 65.13/65.34 (step @p433 :rule eq_resolve :premises (@p118 @p432)) % 65.13/65.34 (step @p434 :rule instantiate :premises (@p433) :args (@t214)) % 65.13/65.34 (step @p435 :rule cnf_or_pos :args (@t247)) % 65.13/65.34 (step @p436 :rule reordering :premises (@p435) :args ((or @t220 @t218 @t246 (not @t247)))) % 65.13/65.34 (step @p437 :rule chain_m_resolution :premises (@p436 @p329 @p322 @p434) :args (@t246 @t196 (@list @t219 @t217 @t247))) % 65.13/65.34 (assume-push @p551 @t191) % 65.13/65.34 (assume-push @p552 @t216) % 65.13/65.34 (assume-push @p553 @t228) % 65.13/65.34 (assume-push @p554 @t246) % 65.13/65.34 (assume-push @p555 @t238) % 65.13/65.34 (assume-push @p556 @t238) % 65.13/65.34 (assume-push @p557 @t191) % 65.13/65.34 (assume-push @p558 @t228) % 65.13/65.34 (assume-push @p559 @t216) % 65.13/65.34 (assume-push @p560 @t246) % 65.13/65.34 (step @p448 :rule true_intro :premises (@p555)) % 65.13/65.34 (step @p297 :rule refl :args (@t184)) % 65.13/65.34 (step @p449 :rule symm :premises (@p551)) % 65.13/65.34 (step @p450 :rule cong :premises (@p449) :args (@t215)) % 65.13/65.34 (step @p451 :rule trans :premises (@p332 @p450)) % 65.13/65.34 (step @p452 :rule cong :premises (@p449) :args (@t227)) % 65.13/65.34 (step @p453 :rule trans :premises (@p367 @p452)) % 65.13/65.34 (step @p454 :rule cong :premises (@p453 @p221) :args (@t230)) % 65.13/65.34 (step @p455 :rule cong :premises (@p454 @p451) :args (@t245)) % 65.13/65.34 (step @p456 :rule trans :premises (@p551 @p437 @p455)) % 65.13/65.34 (step @p457 :rule cong :premises (@p456 @p297) :args (@t248)) % 65.13/65.34 (step @p458 :rule trans :premises (@p457 @p448)) % 65.13/65.34 (step @p459 :rule true_elim :premises (@p458)) % 65.13/65.34 (step-pop @p561 :rule scope :premises (@p459)) % 65.13/65.34 (step-pop @p562 :rule scope :premises (@p561)) % 65.13/65.34 (step-pop @p563 :rule scope :premises (@p562)) % 65.13/65.34 (step-pop @p564 :rule scope :premises (@p563)) % 65.13/65.34 (step-pop @p565 :rule scope :premises (@p564)) % 65.13/65.34 (step @p460 :rule process_scope :premises (@p565) :args (@t248)) % 65.13/65.34 (step @p466 :rule and_intro :premises (@p555 @p551 @p367 @p332 @p437)) % 65.13/65.34 (step @p467 :rule modus_ponens :premises (@p466 @p460)) % 65.13/65.34 (step-pop @p566 :rule scope :premises (@p467)) % 65.13/65.34 (step-pop @p567 :rule scope :premises (@p566)) % 65.13/65.34 (step-pop @p568 :rule scope :premises (@p567)) % 65.13/65.34 (step-pop @p569 :rule scope :premises (@p568)) % 65.13/65.34 (step-pop @p570 :rule scope :premises (@p569)) % 65.13/65.34 (step @p468 :rule process_scope :premises (@p570) :args (@t248)) % 65.13/65.34 (step @p474 :rule implies_elim :premises (@p468)) % 65.13/65.34 (step @p475 :rule cnf_and_neg :args (@t249)) % 65.13/65.34 (step @p476 :rule resolution :premises (@p475 @p474) :args (true @t249)) % 65.13/65.34 (step @p477 :rule reordering :premises (@p476) :args ((or @t226 @t225 @t236 (not @t246) @t248 (not @t238)))) % 65.13/65.34 (step @p281 :rule instantiate :premises (@p279) :args (@t202)) % 65.13/65.34 (step @p478 :rule chain_m_resolution :premises (@p289 @p8 @p287 @p185 @p281) :args (@t203 @t207 @t208)) % 65.13/65.34 (assume-push @p571 @t203) % 65.13/65.34 (assume-push @p572 @t242) % 65.13/65.34 (assume-push @p573 @t242) % 65.13/65.34 (assume-push @p574 @t203) % 65.13/65.34 (step @p483 :rule true_intro :premises (@p572)) % 65.13/65.34 (step @p297 :rule refl :args (@t184)) % 65.13/65.34 (step @p484 :rule symm :premises (@p478)) % 65.13/65.34 (step @p485 :rule cong :premises (@p484 @p297) :args (@t250)) % 65.13/65.34 (step @p486 :rule trans :premises (@p485 @p483)) % 65.13/65.34 (step @p487 :rule true_elim :premises (@p486)) % 65.13/65.34 (step-pop @p575 :rule scope :premises (@p487)) % 65.13/65.34 (step-pop @p576 :rule scope :premises (@p575)) % 65.13/65.34 (step @p488 :rule process_scope :premises (@p576) :args (@t250)) % 65.13/65.34 (step @p491 :rule and_intro :premises (@p572 @p478)) % 65.13/65.34 (step @p492 :rule modus_ponens :premises (@p491 @p488)) % 65.13/65.34 (step-pop @p577 :rule scope :premises (@p492)) % 65.13/65.34 (step-pop @p578 :rule scope :premises (@p577)) % 65.13/65.34 (step @p493 :rule process_scope :premises (@p578) :args (@t250)) % 65.13/65.34 (step @p496 :rule implies_elim :premises (@p493)) % 65.13/65.34 (step @p497 :rule cnf_and_neg :args (@t251)) % 65.13/65.34 (step @p498 :rule resolution :premises (@p497 @p496) :args (true @t251)) % 65.13/65.34 (step @p499 :rule reordering :premises (@p498) :args ((or @t211 @t250 (not @t242)))) % 65.13/65.34 (step @p500 :rule instantiate :premises (@p192) :args (@t197)) % 65.13/65.34 (step @p501 :rule cnf_or_pos :args (@t256)) % 65.13/65.34 (step @p502 :rule reordering :premises (@p501) :args ((or @t199 @t252 @t255 @t254 @t253 (not @t256)))) % 65.13/65.34 (step @p503 :rule chain_m_resolution :premises (@p502 @p500 @p499 @p478 @p477 @p437 @p367 @p332 @p429 @p427 @p8 @p413 @p410 @p409 @p376 @p367 @p359 @p332 @p322 @p321 @p319 @p61 @p314 @p289 @p8 @p185 @p287 @p284 @p279 @p274 @p272 @p56) :args ((or @t226 @t199 @t252) (@list false false false false false false false false false false false false true true false false false false false false false false false false false true false false false false false) (@list @t256 @t250 @t203 @t248 @t246 @t228 @t216 @t242 @t244 @t1 @t238 @t241 @t234 @t231 @t228 @t223 @t216 @t217 @t212 @t213 @t49 @t209 @t203 @t1 @t156 @t204 @t206 @t201 @t198 @t200 @t48))) % 65.13/65.34 (step @p504 false :rule chain_m_resolution :premises (@p503 @p267 @p263 @p253) :args (false @t196 (@list @t193 @t191 @t185))) % 65.13/65.34 ) % 65.13/65.34 % SZS output end Proof % 65.13/65.34 % cvc5 exiting %------------------------------------------------------------------------------